Details

analyze401.0ms (7.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
53.1%	42.1%	4.8%	7
59.3%	35.9%	4.8%	8
62.4%	30.4%	7.1%	9
64.8%	28.1%	7.1%	10
66%	25.8%	8.3%	11
66.9%	24.8%	8.3%	12
67.4%	23.7%	8.9%	13
67.9%	23.3%	8.9%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.9s (73.3%)

Results

2.6s	2542×	body	8192	exit
1.0s	7663×	body	128	valid
137.0ms	212×	body	1024	valid
92.0ms	224×	body	512	valid
38.0ms	155×	body	256	valid
8.0ms	69×	body	128	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 24 to 18 computations (25% saved)

preprocess41.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

732×	`times-frac_binary64`
438×	`associate-/r/_binary64`
300×	`fma-def_binary64`
232×	`unswap-sqr_binary64`
157×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	32	22
2	45	22
3	71	22
4	101	22
5	150	22
6	231	22
7	320	22
8	425	22
9	543	22
10	635	22
11	675	22
12	823	22
13	1264	22
14	2823	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

369×	`times-frac_binary64`
363×	`associate-l_binary64`
285×	`associate-/l/_binary64`
280×	`associate-/l*_binary64`
262×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	30	11
3	47	11
4	66	11
5	100	11
6	154	11
7	205	11
8	273	11
9	352	11
10	414	11
11	440	11
12	519	11
13	747	11
14	1549	11
15	4642	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 36 to 22 computations (38.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (exp.f64 x))
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

series52.0ms (1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
17.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
5.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
5.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
3.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite48.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`pow1_binary64`
733×	`expm1-log1p-u_binary64`
732×	`log1p-expm1-u_binary64`
78×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	147	16
2	2012	16

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))))))

simplify37.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-def_binary64`
237×	`distribute-lft-out_binary64`
204×	`*-commutative_binary64`
196×	`sub-neg_binary64`
186×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	356
1	81	350
2	201	337
3	652	321
4	2595	321
5	4869	321

Stop Event

1×	node limit

Counts

91 → 74

Calls

Call 1

Inputs
(log.f64 2)
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 y x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (+.f64 (.f64 y x) (.f64 1/192 (pow.f64 x 4))))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 1/192 (pow.f64 x 4)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))

Outputs
(log.f64 2)
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 y x))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)) (*.f64 x y)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (.f64 x x)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (+.f64 (.f64 y x) (.f64 1/192 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)) (fma.f64 y x (*.f64 1/192 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 x (.f64 1/8 (.f64 x x))) (-.f64 (log.f64 2) (fma.f64 x y (*.f64 1/192 (pow.f64 x 4)))))
(-.f64 (fma.f64 x (.f64 x 1/8) (fma.f64 1/2 x (log.f64 2))) (fma.f64 1/192 (pow.f64 x 4) (.f64 x y)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (fma.f64 (pow.f64 x 4) -1/192 (log.f64 2)))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (.f64 1/8 (.f64 x x))))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 1/192 (pow.f64 x 4)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)) (*.f64 1/192 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x (.f64 1/8 (.f64 x x)))) (*.f64 1/192 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (fma.f64 (pow.f64 x 4) -1/192 (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))

prune48.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Error

0.0b

Counts

75 → 3

Alt Table

Status	Error	Program
	15.9b	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	13.5b	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))

Status

Error

Program

15.9b

(fma.f64 x (-.f64 1/2 y) (log.f64 2))

✓

0.0b

(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

▶

13.5b

(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))

Compiler

Compiled 1091 to 408 computations (62.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
✓	0.6b	(pow.f64 (log1p.f64 (exp.f64 x)) 3)
✓	0.7b	(pow.f64 (log1p.f64 (exp.f64 x)) 2)
✓	13.2b	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))

series20.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
2.0ms	y	@	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
2.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
2.0ms	y	@	0	(.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
2.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

184×	`add-sqr-sqrt_binary64`
183×	`pow1_binary64`
179×	`*-un-lft-identity_binary64`
176×	`add-log-exp_binary64`
176×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	377	42

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 1) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3)) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) (pow.f64 (.f64 x y) 6)) (+.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 3) (pow.f64 (.f64 x y) 6)) (+.f64 (.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2))) (-.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))) (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2))) (-.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (.f64 x y)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x y) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x y) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 x)) (.f64 x y) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x y) (log1p.f64 (exp.f64 x)) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x y) (.f64 x y) (.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))

simplify46.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-def_binary64`
384×	`cancel-sign-sub-inv_binary64`
362×	`distribute-rgt-out_binary64`
282×	`unswap-sqr_binary64`
277×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	1116
1	270	1098
2	801	983
3	3285	972

Stop Event

1×	node limit

Counts

195 → 167

Calls

Call 1

Inputs
(log.f64 2)
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 y x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (+.f64 (.f64 y x) (.f64 1/192 (pow.f64 x 4))))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(pow.f64 (log.f64 2) 2)
(+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) x))
(+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (.f64 (log.f64 2) x) (+.f64 (.f64 1/4 (.f64 (log.f64 2) (pow.f64 x 2))) (.f64 1/4 (pow.f64 x 2)))))
(+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (.f64 (log.f64 2) x) (+.f64 (.f64 1/4 (.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 2) 3)
(+.f64 (pow.f64 (log.f64 2) 3) (.f64 3/2 (.f64 (pow.f64 (log.f64 2) 2) x)))
(+.f64 (.f64 3/4 (.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 3) (+.f64 (.f64 3/8 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (.f64 3/2 (.f64 (pow.f64 (log.f64 2) 2) x)))))
(+.f64 (.f64 3/8 (.f64 (log.f64 2) (pow.f64 x 3))) (+.f64 (.f64 3/4 (.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 3) (+.f64 (.f64 3/8 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 3/2 (.f64 (pow.f64 (log.f64 2) 2) x)) (*.f64 1/8 (pow.f64 x 3)))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(.f64 y (.f64 (log.f64 2) x))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 y (.f64 (log.f64 2) x)) (.f64 1/2 (*.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 y (.f64 (log.f64 2) x)) (+.f64 (.f64 1/2 (.f64 y (pow.f64 x 2))) (.f64 1/8 (*.f64 y (pow.f64 x 3))))))
(-.f64 (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 y (.f64 (log.f64 2) x)) (+.f64 (.f64 1/2 (.f64 y (pow.f64 x 2))) (.f64 1/8 (.f64 y (pow.f64 x 3)))))) (.f64 1/192 (*.f64 y (pow.f64 x 5))))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(.f64 y (.f64 (log.f64 (+.f64 1 (exp.f64 x))) x))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))

Outputs
(log.f64 2)
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 y x))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)) (*.f64 x y)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (.f64 x x)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (+.f64 (.f64 y x) (.f64 1/192 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (.f64 x x) (.f64 1/2 x))) (fma.f64 y x (*.f64 1/192 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/2 x (.f64 1/8 (.f64 x x))) (fma.f64 x y (*.f64 1/192 (pow.f64 x 4)))))
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(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(fma.f64 (.f64 y y) (.f64 x x) (.f64 y (.f64 x (log1p.f64 (exp.f64 x)))))
(fma.f64 (.f64 x x) (.f64 y y) (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))
(.f64 (.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(.f64 x (.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(fma.f64 (.f64 y y) (.f64 x x) (.f64 y (.f64 x (log1p.f64 (exp.f64 x)))))
(fma.f64 (.f64 x x) (.f64 y y) (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))
(.f64 (.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(.f64 x (.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 y (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(fma.f64 (.f64 y y) (.f64 x x) (.f64 y (.f64 x (log1p.f64 (exp.f64 x)))))
(fma.f64 (.f64 x x) (.f64 y y) (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))
(.f64 (.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(.f64 x (.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))

prune133.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	167	3	170

Error

Counts

170 → 3

Alt Table

Status

Error

Program

▶

13.5b

(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))

15.9b

(fma.f64 x (-.f64 1/2 y) (log.f64 2))

✓

0.0b

(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 5224 to 2072 computations (60.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
	0.6b	(pow.f64 (log1p.f64 (exp.f64 x)) 3)
	0.7b	(pow.f64 (log1p.f64 (exp.f64 x)) 2)
✓	13.2b	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
0.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
0.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
0.0ms	y	@	inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
0.0ms	y	@	-inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))

rewrite29.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

192×	`add-sqr-sqrt_binary64`
192×	`pow1_binary64`
187×	`*-un-lft-identity_binary64`
186×	`expm1-log1p-u_binary64`
184×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	398	11

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

Inputs

(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (/.f64 (pow.f64 (*.f64 x y) 3) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 2) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (*.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) (-.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 3) (pow.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 x y)))))))

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

386×	`sub-neg_binary64`
358×	`fma-def_binary64`
215×	`unswap-sqr_binary64`
174×	`*-commutative_binary64`
165×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	263
1	72	259
2	175	252
3	550	242
4	2119	242
5	4253	242

Stop Event

1×	node limit

Counts

79 → 67

Calls

Call 1

Inputs
(log.f64 2)
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 y x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (+.f64 (.f64 y x) (.f64 1/192 (pow.f64 x 4))))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))

Outputs
(log.f64 2)
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 y x))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)) (*.f64 x y)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (.f64 x x)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (+.f64 (.f64 y x) (.f64 1/192 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)) (fma.f64 y x (*.f64 1/192 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/2 x (.f64 1/8 (.f64 x x))) (fma.f64 x y (*.f64 1/192 (pow.f64 x 4)))))
(-.f64 (fma.f64 1/2 x (fma.f64 x (.f64 x 1/8) (log.f64 2))) (fma.f64 1/192 (pow.f64 x 4) (.f64 x y)))
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

prune126.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	163	3	166

Error

Counts

166 → 3

Alt Table

Status

Error

Program

✓

13.5b

(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))

▶

15.9b

(fma.f64 x (-.f64 1/2 y) (log.f64 2))

✓

0.0b

(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 5231 to 2187 computations (58.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (-.f64 1/2 y) (log.f64 2))

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
2.0ms	y	@	0	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
1.0ms	x	@	-inf	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
1.0ms	y	@	inf	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
1.0ms	x	@	inf	(fma.f64 x (-.f64 1/2 y) (log.f64 2))

rewrite38.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
82×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	170	10
2	2028	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) 1) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))))))

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

336×	`fma-def_binary64`
260×	`fma-neg_binary64`
76×	`cancel-sign-sub-inv_binary64`
51×	`sub-neg_binary64`
41×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	308
1	40	252
2	85	216
3	161	216
4	287	216
5	436	216
6	659	216
7	970	216
8	1247	216
9	1272	216
10	1273	216

Stop Event

1×

saturated

Counts

47 → 33

Calls

Call 1

Inputs
(log.f64 2)
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))

Outputs
(log.f64 2)
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(*.f64 x (-.f64 1/2 y))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

prune28.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	33	3	36

Error

Counts

36 → 3

Alt Table

Status

Error

Program

✓

13.5b

(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))

✓

15.9b

(fma.f64 x (-.f64 1/2 y) (log.f64 2))

✓

0.0b

(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 400 to 300 computations (25% saved)

regimes102.0ms (1.9%)

Accuracy

Total 0.2b remaining (57%)

Threshold costs 0.2b (57%)

Counts

43 → 1

Compiler

Compiled 1020 to 435 computations (57.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	25	11
3	31	11
4	35	11
5	36	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

end58.0ms (1.1%)

Stop Event

1×

done

Compiler

Compiled 69 to 43 computations (37.7% saved)

Details

analyze401.0ms (7.6%)

sample3.9s (73.3%)

preprocess41.0ms (0.8%)

simplify33.0ms (0.6%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series52.0ms (1%)

rewrite48.0ms (0.9%)

simplify37.0ms (0.7%)

prune48.0ms (0.9%)

localize15.0ms (0.3%)

series20.0ms (0.4%)

rewrite52.0ms (1%)

simplify46.0ms (0.9%)

prune133.0ms (2.5%)

localize17.0ms (0.3%)

series2.0ms (0%)

rewrite29.0ms (0.5%)

simplify36.0ms (0.7%)

prune126.0ms (2.4%)

localize5.0ms (0.1%)

series7.0ms (0.1%)

rewrite38.0ms (0.7%)

simplify27.0ms (0.5%)

prune28.0ms (0.5%)

regimes102.0ms (1.9%)

simplify4.0ms (0.1%)

end58.0ms (1.1%)

Profiling